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Finding the Fourth Proportional to 512.15, 705.98 and 364.52

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Solution

The fourth proportional to 512.15, 705.98 and 364.52 is: 502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.15 : 705.98 = 364.52 : x
  2. Step 2: Convert to fraction form
    512.15/705.98 = 364.52/x
  3. Step 3: Cross multiply
    512.15x = 705.98 × 364.52
  4. Step 4: Simplify right side
    512.15x = 257,346.51
  5. Step 5: Solve for x
    x = 257,346.51/512.15
  6. Step 6: Final answer
    x = 502.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.